Finding the Third Proportional to 53,964 and 118,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,964 : 118,633.50 = 118,633.50 : x
2. Step 2: Convert to fraction form
   53,964/118,633.50 = 118,633.50/x
3. Step 3: Cross multiply
   53,964x = 118,633.50 × 118,633.50
4. Step 4: Simplify right side
   53,964x = 14,073,907,322.25
5. Step 5: Solve for x
   x = 14,073,907,322.25/53,964
6. Step 6: Final answer
   x = 260,801.78